Question

If a circle is inscribed in a triangle, the center of the circle is called the _____ of the triangle.

A. radius
B. incenter
C. circumcenter

Answer 1

The answer would be B, incenter.


Hope I could help.

Answer 2

The correct answer to the following question will be Option B (Incenter).

Explanation:

The middle of the circle which is carved in a triangle is the triangle incenter, the point where the triangle angle bisectors cross.

There are following steps to construct an inscribed circle in a triangle are as follows:

Step 1: Create the incenter.

Step 2: Construct a line that passes through incenter, perpendicular to one side of the triangle. The segment which connects the incenter with the triangle intersection point and the perpendicular line is the circle radius.

Step 3: Build a centered circle at the incenter with radius spotted in step 2.